193864 has 16 divisors (see below), whose sum is σ = 396720. Its totient is φ = 88080.

The previous prime is 193861. The next prime is 193871. The reversal of 193864 is 468391.

193864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (193861) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1014 + ... + 1189.

It is an arithmetic number, because the mean of its divisors is an integer number (24795).

2¹⁹³⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

193864 is an abundant number, since it is smaller than the sum of its proper divisors (202856).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

193864 is a wasteful number, since it uses less digits than its factorization.

193864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2220 (or 2216 counting only the distinct ones).

The product of its digits is 5184, while the sum is 31.

The square root of 193864 is about 440.2998977969. The cubic root of 193864 is about 57.8760730908.

It can be divided in two parts, 1938 and 64, that added together give a palindrome (2002).

The spelling of 193864 in words is "one hundred ninety-three thousand, eight hundred sixty-four".